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A variation of the Scott analysis of countable structures is applied toactions of non-Archimedean TSI Polish groups acting continuously on a Polishspaces. We give results on the potential Borel complexity spectrum of suchgroups, and define orbit equivalence relations that are universal for eachBorel complexity class. We also identify an obstruction to classifiability byactions of such groups, namely generic ergodicity with respect to $E_\infty$,which we apply to Clemens-Coskey jumps of countable Borel equivalencerelations. Finally, we characterize the equivalence relations that are bothBorel-reducible to $=^+$ and classifiable by non-Archimedean TSI Polish groups,extending a result of Ding and Gao. In the process, several tools are developedin the Borel reducibility theory of orbit equivalence relations which arelikely to be of independent interest.

Non-Archimedean TSI Polish groups and their potential Borel complexity spectrum